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Finding the Fourth Proportional to 608.96, 840.40 and 360.32

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Solution

The fourth proportional to 608.96, 840.40 and 360.32 is: 497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.96 : 840.40 = 360.32 : x
  2. Step 2: Convert to fraction form
    608.96/840.40 = 360.32/x
  3. Step 3: Cross multiply
    608.96x = 840.40 × 360.32
  4. Step 4: Simplify right side
    608.96x = 302,812.93
  5. Step 5: Solve for x
    x = 302,812.93/608.96
  6. Step 6: Final answer
    x = 497.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.